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Finding the Third Proportional to 6,321,853,156 and 14,057,172,840

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Solution

The third proportional to 6,321,853,156 and 14,057,172,840 is: 31,257,307,529.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,321,853,156 : 14,057,172,840 = 14,057,172,840 : x
  2. Step 2: Convert to fraction form
    6,321,853,156/14,057,172,840 = 14,057,172,840/x
  3. Step 3: Cross multiply
    6,321,853,156x = 14,057,172,840 × 14,057,172,840
  4. Step 4: Simplify right side
    6,321,853,156x = 197,604,108,253,633,675,264
  5. Step 5: Solve for x
    x = 197,604,108,253,633,675,264/6,321,853,156
  6. Step 6: Final answer
    x = 31,257,307,529.53

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.